5 citations · 7 across the 5 of their papers we have counts for
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On the pair correlations of powers of real numbers
Christoph Aistleitner, Simon Baker
A classical theorem of Koksma states that for Lebesgue almost every the sequence is uniformly distributed modulo one. In the present paper we extend Ko…
On the number of gaps of sequences with Poissonian Pair Correlations
Christoph Aistleitner, Thomas Lachmann, Paolo Leonetti +1
A sequence on the torus is said to have Poissonian pair correlations if for all reals , as . It…
Decoupling theorems for the Duffin-Schaeffer problem
Christoph Aistleitner
The Duffin-Schaeffer conjecture is a central open problem in metric number theory. Let be a non-negative function, and set $\mathcal{E}_n :=\bigcu…
Circular automata synchronize with high probability
Christoph Aistleitner, Daniele D'Angeli, Abraham Gutierrez +2
In this paper we prove that a uniformly distributed random circular automaton of order synchronizes with high probability (whp). More precisely, we prove that $…